GCD of 118, 798, 916, 412 Calculator

Given Input numbers are 118, 798, 916, 412

In the factoring method, we have to find the divisors of all numbers

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (118, 798, 916, 412) = 2.

Given numbers are 118, 798, 916, 412

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 916 are 2 x 2 x 229

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 118, 798, 916, 412 is 2.

Given numbers are 118, 798, 916, 412

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(118, 798) = 47082

GCD(118, 798) = ( 118 x 798 ) / 47082

= 118 / 798

= 118

Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

Step3:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

So, Greatest Common Divisor of 118, 798, 916, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 914, 632, 202
• GCD of 950, 604, 760, 302
• GCD of 875, 599, 181, 596
• GCD of 174, 980, 563, 326
• GCD of 495, 813, 731, 458

Given numbers are 118, 798, 916, 412
The greatest common divisor of numbers 118, 798, 916, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 798, 916, 412 is 2.

1. What is the GCD of 118, 798, 916, 412?

GCD of given numbers 118, 798, 916, 412 is 2

2. How to calculate the greatest common divisor of 118, 798, 916, 412?

We can find the highest common divisor of 118, 798, 916, 412 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 118, 798, 916, 412 i.e 2.

3. How can I use the GCD of 118, 798, 916, 412Calculator?

Out the numbers 118, 798, 916, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.